Evaporation of water

If you fill a shallow dish with water at room temperature the water will, under normal conditions, evaporate completely. It is easy to believe that some of the more energetic molecules can escape from the water surface but how can all of them eventually escape? Many of them do not have the energy to do so.
..............................................................................................................................

SO, is this anything to do with the molecules being polar or non polar or can we say that the molecules get the energy by hitting each other and then that in turn helps them to evaporate...

Ohhh i get it... so when the temperature of the water goes below room temperature the heat gets transferred from the room to the water... and thats where they get the energy to evaporate... aah i never thought of that..